1. 3.1 – Graphing Linear Equations

2. 3.1– Graphing Linear Equations

3. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line

4. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS

5. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.

6. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form

7. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C

8. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x

9. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x
+2x x

10. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x
+2x x
2x + y = 5

11. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x b. 2xy – 5y = 6
+2x x
2x + y = 5

12. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x b. 2xy – 5y = 6
+2x x
2x + y = 5

13. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x b. 2xy – 5y = 6
+2x x
2x + y = 5
c. y = 9

14. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x b. 2xy – 5y = 6
+2x x
2x + y = 5
c. y = 9 d. y = 4x2 – 9

15. 3.1– Graphing Linear Equations
Linear equation – its graph is a straight line
IDENTIFYING LINEAR EQUATIONS
Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form.
*Standard Form: Ax + By = C
a. y = 5 – 2x b. 2xy – 5y = 6
+2x x
2x + y = 5
c. y = 9 d. y = 4x2 – 9

16. GRAPHING LINEAR EQUATIONS

17. GRAPHING LINEAR EQUATIONS
Ex. 2 Graph the following equations.

18. GRAPHING LINEAR EQUATIONS
Ex. 2 Graph the following equations.
a. y = 2x – 3

19. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y)

20. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)

21. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3)

22. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

23. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

24. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

25. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

26. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

27. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

28. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

29. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

30. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

31. GRAPHING LINEAR EQUATIONS Ex. 2 Graph the following equations.
a. y = 2x – 3 x
2x – 3 y
(x, y) -1
2(-1) – 3 -5
(-1, -5)
2(0) – 3 -3
(0, -3) 1
2(1) – 3
(1, -1)

32. b. x + 2y = 6

33. b. x + 2y = 6
*Find x and y-intercepts!

34. b. x + 2y = 6
*Find x and y-intercepts!
x-int:

35. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6

36. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6

37. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6

38. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6

39. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)

40. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int:

41. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6

42. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6

43. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6

44. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3

45. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3
(0,3)

46. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3
(0,3)

47. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3
(0,3)

48. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3
(0,3)

49. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3
(0,3)

50. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3
(0,3)

51. b. x + 2y = 6
*Find x and y-intercepts!
x-int: x + 2(0) = 6
x = 6
(6,0)
y-int: (0) + 2y = 6
2y = 6
y = 3
(0,3)

52. GRAPHS AS FUNCTIONS

53. GRAPHS AS FUNCTIONS
Ex. 3 Determine whether or not each graph is a function.

54. GRAPHS AS FUNCTIONS
Ex. 3 Determine whether or not each graph is a function. a.

55. GRAPHS AS FUNCTIONS
Ex. 3 Determine whether or not each graph is a function.
*Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

56. GRAPHS AS FUNCTIONS
Ex. 3 Determine whether or not each graph is a function.
*Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

57. GRAPHS AS FUNCTIONS
Ex. 3 Determine whether or not each graph is a function.
*Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

58. GRAPHS AS FUNCTIONS
Ex. 3 Determine whether or not each graph is a function.
*Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.

59. GRAPHS AS FUNCTIONS
Ex. 3 Determine whether or not each graph is a function.
*Vertical Line Test – If you can draw vertical line anywhere on graph & it crosses more than once, then it’s not a function! a.
FUNCTION

60. b.

61. b.
FUNCTION

62. b.
FUNCTION c.

63. b.
FUNCTION c.
NOT A